How to Find GCF of 5007/484, 2403/2872?

GCF of 5007/484, 2403/2872

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5007/484, 2403/2872 i.e 3/347512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5007/484, 2403/2872.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5007/484,2403/2872?

Given fractions are 5007/484,2403/2872

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5007/484,2403/2872, numerators are 5007,2403

Denominators are 484,2872

The GCF of 5007,2403 is 3 .

LCM of 484,2872 is 347512.

The greatest common factor of 5007/484,2403/2872 = [GCF of 5007,2403]/[LCM of 484,2872]= 3/347512

Therefore, the GCF of 5007/484,2403/2872 is 3/347512.

Greatest Common Factor of 5007,2403

To find the highest common factor of 5007,2403, we have to find the factors of both numbers and list the highest common factor.

The factors of 5007 are 1, 3, 1669, 5007

The factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403

The HCF of 5007,2403 is 3.

Lets's calculate GCF of 5007,2403

Greatest Common Factor (GCF) of 5007,2403 By Common Division

3	5007, 2403
	1669, 801

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5007,2403 By Matching Biggest Common Factor Method

Now, list down the factors of 5007

1,3,1669,5007

Now, list down the factors of 2403

1,3,9,27,89,267,801,2403

Greatest Common Factor

We found the factors 5007,2403 . The biggest common factor number is the GCF number.
So the greatest common factor 5007,2403 is 3.

Lets's calculate LCM of 484,2872

Lowest Common Multiple of 484,2872 using Common Division

2	484, 2872
2	242, 1436
	121, 718

∴ So the LCM of the given numbers is 2 x 2 x 121 x 718 = 347512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/347512

Therefore, the GCF of Fractions 5007/484,2403/2872 is 3/347512

Least Common Multiple of 484,2872 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 484,2872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,2872) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(484,2872) x common factors =4 x 1 = 4

LCM(484,2872) = ( 484 × 2872 ) / 4

LCM(484,2872) = 1390048 / 4

LCM(484,2872) = 347512

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FAQs on GCF of Fractions of 5007/484, 2403/2872

1. What is the HCF of 5007,2403?

The HCF of 5007,2403 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5007/484, 2403/2872?

Answer: GCF of Numerators as per given numbers 5007/484, 2403/2872 is

GCF of Numerators i.e. for 5007,2403 is 3

LCM of denominators i.e. for 484,2872 is 347512.

Thus, GCF of Fractions is 3/347512.Finally, GCF of Fractions for 5007/484, 2403/2872 is 3/347512.